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Fundamental Operations (Related to Algebraic Expressions) — MATHS STD 6 — Question

ICSE BoardEnglish MediumSTD 6MATHSFundamental Operations (Related to Algebraic Expressions)3 Marks
Question
Simplify: $6 p+\frac{2}{3} q-1 \frac{1}{2} p+\frac{1}{3} q+2 q$
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Answer

$6 p+\frac{2}{3} q-1 \frac{1}{2} p+\frac{1}{3} q+2 q$
$=6 p-\frac{3}{2} p+\frac{2}{3} q+\frac{1}{3} q+2 q$
$=\left(\frac{12 p-3 p}{2}\right)+\left(\frac{2 q+q+6 q}{3}\right)$
$=\frac{9}{2} p+3 q$
$=4 \frac{1}{2} p+3 q$

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